On existence of Ulrich sheaf
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918217117597696 |
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| author | Mukherjee, Anindya Barik, Pabitra |
| author_facet | Mukherjee, Anindya Barik, Pabitra |
| contents | Let X be a smooth projective variety carrying an Ulrich bundle. In the first part of this note, we construct an Ulrich sheaf on n-th symmetric power of X, which is a singular variety when $DimX >1$. As a consequence, we get the existence of an Ulrich bundle on Hillb^{n}C, where C is a smooth projective curve. Let A be an abelian variety which carries an Ulrich bundle. In the second part of this note, we show the existence of Ulrich bundle on the blow up of $A \times A$ along $A \times \{0\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On existence of Ulrich sheaf Mukherjee, Anindya Barik, Pabitra Algebraic Geometry Let X be a smooth projective variety carrying an Ulrich bundle. In the first part of this note, we construct an Ulrich sheaf on n-th symmetric power of X, which is a singular variety when $DimX >1$. As a consequence, we get the existence of an Ulrich bundle on Hillb^{n}C, where C is a smooth projective curve. Let A be an abelian variety which carries an Ulrich bundle. In the second part of this note, we show the existence of Ulrich bundle on the blow up of $A \times A$ along $A \times \{0\}$. |
| title | On existence of Ulrich sheaf |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.11001 |